Here's two that happened recently with me:
1) Was Running Zoltan Cruiser B and got boarded by 1 mantis somewhere in the middle of the ship. As I was very close on energy in all systems during the fight I didn't send any guys, but successfully made him run in circles because of the oxygen (venting and regaining O2 in rooms I needed him). I was at the fire giant beacon, so I wanted to get out as soon as possible and I simply jumped away with the mantis still alive. I hit the next sector and it's a fight again. Mantis is slowly dying but still not a threat. I disable most of the enemy ship (which had a teleporter), mantis is almost dead, they break through my zoltan shields with remaining weapons and the mantis gets beamed to the enemy ship!
First I was like WTF just happened? The enemy ship got a teleporter and apparently they didn't care who actually they are saving

2) Happened just now. I started a fresh Nisos and first beacon I run into a rebel ship with Heavy Ion + Heavy Laser I (apparently RNG heard my comments about Engi B being mediocre


So the guys who almost wrecked me using Heavy Ion decide to surrender to me and also give me something to resist ion damage? Oh, FTL, you never fail to give me a good chuckle!